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Finding the Fourth Proportional to 30,537.67, 45,738.83 and 23,465.62

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Solution

The fourth proportional to 30,537.67, 45,738.83 and 23,465.62 is: 35,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.67 : 45,738.83 = 23,465.62 : x
  2. Step 2: Convert to fraction form
    30,537.67/45,738.83 = 23,465.62/x
  3. Step 3: Cross multiply
    30,537.67x = 45,738.83 × 23,465.62
  4. Step 4: Simplify right side
    30,537.67x = 1,073,290,004.02
  5. Step 5: Solve for x
    x = 1,073,290,004.02/30,537.67
  6. Step 6: Final answer
    x = 35,146.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.